Is there a significant difference in the level of community service participatio

Question

Is there a significant difference in the level of community service participation between criminal justice majors and accounting majors? What is your research hypothesis? Should it be a one tailed test or a two tailed test?
Your study finds that 38% of 160 criminal justice majors reported volunteering in the previous month, compared with 29% of 210 accounting majors. Test your hypothesis at the .05 level. Is there a significant difference in the level of community service participation between criminal justice majors and accounting majors? What is your research hypothesis? Should it be a one tailed test or a two tailed test?
Your study finds that 38% of 160 criminal justice majors reported volunteering in the previous month, compared with 29% of 210 accounting majors. Test your hypothesis at the .05 level. Is there a significant difference in the level of community service participation between criminal justice majors and accounting majors? What is your research hypothesis? Should it be a one tailed test or a two tailed test?

Explanation / Answer

Formulating the hypotheses          

Ho: p1 - p2   =   0  
Ha: p1 - p2   =/=   0  

Here, we see that pdo =    0   , the hypothesized population proportion difference.  

As Ha used =/=, it is a TWO TAILED TEST. The hypothesis of the research is that there is a significant difference in the level of community service participation between criminal justice majors and accounting majors.   

Getting p1^ and p2^,          
          
p1^ = x1/n1 =    0.38      
p2 = x2/n2 =    0.29      
          
Also, the standard error of the difference is          
          
sd = sqrt[ p1 (1 - p1) / n1 + p2 (1 - p2) / n2] =    0.04952753      
          
Thus,          
          
z = [p1 - p2 - pdo]/sd =    1.817171191      
          
As significance level =    0.05   , then the critical z is  
          
zcrit =    1.959963985      
          
Also, the p value is          
          
P =    0.069190905      
          
As P < 0.05 , then we    FAIL TO REJECT THE NULL HYPOTHESIS.

Thus, there is no significant difference in the level of community service participation between criminal justice majors and accounting majors. [CONCLUSION]      

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